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CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
CK-12 Foundation
Visual Patterns: Balloons
Balloons aren't just for little kids; they can teach important math concepts, too. Individuals use an interactive to continue a color pattern with balloons. They continue the pattern and write a mathematical expression to represent the...
101 Questions
Scrambler
Unscramble a carnival mystery! Scholars observe a video of an overhead view of a carnival ride, The Scrambler. They then must determine mathematically where a specific car will stop after a certain amount of time.
Concord Consortium
Hockey Pucks
Package design is a mathematical task for any business. Young scholars use a package design to determine the number of packages required for specific shipments. Using ratios, proportions, and fractions, they make decisions about the best...
Curated OER
Megabeasts
Create larger-than-life insects for the classroom. Bugs are usually pretty small, but during the Jurassic period they were huge. Kids use diagramming and scale conversion to enlarge a modern day insect so that it is as big as its ancient...
Curated OER
Multiplying and Dividing Fractions and Mixed Numbers
Help math learners discover how to multiply fractions and mixed numbers. They will explore visual examples of the operations. They also practice solving problems that their instructor models.
Curated OER
Principles of Flight: Flying Paper Airplanes
Students investigate ways to enhance an object's flying ability. In this model construction lesson, students construct two paper airplanes, one of which is twice as big as the first. Students compare and contrast the two...
Curated OER
Mathematical Models with Applications: What's Your Rate of Change?
Young scholars use regression methods available through technology to select the most appropriate model to describe collected data and use the model to interpret information. They use numeric techniques to write the equation of a line...
Curated OER
Management of Wildlife Resources
Students investigate how wildlife management policies affect the size of large animal populations. They develop a spreadsheet that incorporates a mathematical model to predict big game herd sizes, and using worksheet data manage a bison...
Curated OER
Can You Carry a Tune in a Bucket?
Students use water filled pipes to play a tune and consider the mathematics behind the sound waves. In this sound wave activity, students play a tune with water filled pipes. They create a mathematical model to evaluate the wavelengths...
Curated OER
The Geometry of Real Images
For this math worksheet, students read the examples for using the techniques of mathematical modeling. They draw the angles in order to simulate the reflection of light while using a concave mirror.
Curated OER
Bottled Model Lungs
Students will learn about the respiratory system by comparing and contrasting models, building their own models, and giving one another feedback. Questions about familiar body systems can be useful in getting students to start thinking...
National Council of Teachers of Mathematics
The Roll Out Fractions Game: Comparing Fractions
Reinforce the concept of comparing fractions with a hands-on, two-player game that calls for a visual model, score board, and dice. Players roll dice to acquire their given fraction, create the fraction using fraction tiles, then...
Pennsylvania Department of Education
Multiplication Using Arrays
Explore the concept of multiplication by using arrays. Classmates use arrays to gain a better understanding of multiplication. They break arrays apart to model the distributive property of multiplication over addition. The relationship...
Curated OER
7th Grade Math: Algebra (Distributive Property)
With algebra tiles in hand 7th graders will uncover the wonders of the distributive property of multiplication. They will take a pre-test, define the distributive property, then model and practice using their tiles to solve basic...
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Curated OER
Associative Property of Multiplication
Third graders discover the associative property of multiplication. In this multiplication lesson, 3rd graders explore visual examples of using the commutative and associative properties of multiplication. They also practice solving...
Concord Consortium
Filling the Pool
Fill your mind with math as you think about filling a pool. Given information about the rates of two pipes, one filling a pool and one draining a pool, learners determine a piecewise function that models the volume of water in the pool...
University of Nottingham
Modeling Conditional Probabilities: 2
Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
Curated OER
Environmental Agents of Mathematics: Mathematics for Change
High schoolers analyze environmental science data using Math. They do research about renewable energy, gather data, create graphs and interpret their findings. Then the group presents their arguments persuasively using their findings to...
EngageNY
Writing and Evaluating Expressions—Multiplication and Addition
How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...
Mathematics Vision Project
Module 8: Modeling Data
Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...
Curated OER
Modeling: Having Kittens
Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The instructional activity focuses on developing strategies for problem solving using both individual...
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